Equilibrium measures for the Hénon map at the first bifurcation

DOI10.1088/0951-7715/26/6/1719zbMath1280.37032arXiv1110.0601OpenAlexW3098811227MaRDI QIDQ2839492

Hiroki Takahasi, Samuel Senti

Publication date: 11 July 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0601

zbMATH Keywords

Hénon mapequilibrium measure

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (12)

Birkhoff spectrum for Hénon-like maps at the first bifurcation ⋮ Removal of phase transition in the Chebyshev quadratic and thermodynamics for Hénon-like maps near the first bifurcation ⋮ Building thermodynamics for non-uniformly hyperbolic maps ⋮ Kupka–Smale diffeomorphisms at the boundary of uniform hyperbolicity: a model ⋮ Thermodynamics of the Katok map ⋮ Lyapunov spectrum for Hénon-like maps at the first bifurcation ⋮ Thermodynamic formalism for interval maps: inducing schemes ⋮ Thermodynamics via inducing ⋮ Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation ⋮ Boundary of the Horseshoe Locus for the Hénon Family ⋮ Equilibrium measures for the Hénon map at the first bifurcation: uniqueness and geometric/statistical properties ⋮ Thermodynamics of towers of hyperbolic type

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